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Finding the Fourth Proportional to 4,909.07, 6,774.69 and 2,813.60

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Solution

The fourth proportional to 4,909.07, 6,774.69 and 2,813.60 is: 3,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.07 : 6,774.69 = 2,813.60 : x
  2. Step 2: Convert to fraction form
    4,909.07/6,774.69 = 2,813.60/x
  3. Step 3: Cross multiply
    4,909.07x = 6,774.69 × 2,813.60
  4. Step 4: Simplify right side
    4,909.07x = 19,061,244.46
  5. Step 5: Solve for x
    x = 19,061,244.46/4,909.07
  6. Step 6: Final answer
    x = 3,882.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.